Atkin-Lehner |
2+ 3+ 7+ 37+ |
Signs for the Atkin-Lehner involutions |
Class |
18648a |
Isogeny class |
Conductor |
18648 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
-1352043850752 = -1 · 210 · 39 · 72 · 372 |
Discriminant |
Eigenvalues |
2+ 3+ 0 7+ -6 -2 0 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-1755,62694] |
[a1,a2,a3,a4,a6] |
Generators |
[-17:296:1] |
Generators of the group modulo torsion |
j |
-29659500/67081 |
j-invariant |
L |
4.1921598116741 |
L(r)(E,1)/r! |
Ω |
0.75965897803953 |
Real period |
R |
1.3796189911732 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
37296a2 18648q2 |
Quadratic twists by: -4 -3 |